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Finding the Third Proportional to 132,323.50 and 204,945

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Solution

The third proportional to 132,323.50 and 204,945 is: 317,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,323.50 : 204,945 = 204,945 : x
  2. Step 2: Convert to fraction form
    132,323.50/204,945 = 204,945/x
  3. Step 3: Cross multiply
    132,323.50x = 204,945 × 204,945
  4. Step 4: Simplify right side
    132,323.50x = 42,002,453,025
  5. Step 5: Solve for x
    x = 42,002,453,025/132,323.50
  6. Step 6: Final answer
    x = 317,422.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.